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Finding the Fourth Proportional to 203,663.31, 281,076.13 and 113,019.91

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Solution

The fourth proportional to 203,663.31, 281,076.13 and 113,019.91 is: 155,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,663.31 : 281,076.13 = 113,019.91 : x
  2. Step 2: Convert to fraction form
    203,663.31/281,076.13 = 113,019.91/x
  3. Step 3: Cross multiply
    203,663.31x = 281,076.13 × 113,019.91
  4. Step 4: Simplify right side
    203,663.31x = 31,767,197,718.60
  5. Step 5: Solve for x
    x = 31,767,197,718.60/203,663.31
  6. Step 6: Final answer
    x = 155,978.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.